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Finding the Fourth Proportional to 8,322.96, 11,482.44 and 5,491.80

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Solution

The fourth proportional to 8,322.96, 11,482.44 and 5,491.80 is: 7,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.96 : 11,482.44 = 5,491.80 : x
  2. Step 2: Convert to fraction form
    8,322.96/11,482.44 = 5,491.80/x
  3. Step 3: Cross multiply
    8,322.96x = 11,482.44 × 5,491.80
  4. Step 4: Simplify right side
    8,322.96x = 63,059,263.99
  5. Step 5: Solve for x
    x = 63,059,263.99/8,322.96
  6. Step 6: Final answer
    x = 7,576.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.